Root Mean Square Velocity Calculator

RMS (Root Mean Square) velocity is the effective or equivalent value of a varying velocity signal. For a sinusoidal wave, the RMS value represents the constant velocity that would produce the same energy as the fluctuating signal over one complete cycle.

The factor 0.7071 is the square root of one-half (1 divided by the square root of 2). For a pure sinusoidal signal, the RMS value equals the peak value divided by the square root of 2. This relationship comes from averaging the squared values of the sine wave over one complete cycle.

No. The 0.7071 factor applies only to pure sinusoidal (sine wave) signals. For random vibration, complex waveforms, or signals with multiple frequency components, the RMS must be calculated by integrating the squared signal over the measurement period.

RMS velocity is used in gas kinetic theory to describe the average speed of gas molecules, in AC circuit analysis for voltage and current calculations, and in vibration analysis to characterize the effective motion of oscillating systems.